688573 has 2 divisors, whose sum is σ = 688574. Its totient is φ = 688572.

The previous prime is 688561. The next prime is 688591. The reversal of 688573 is 375886.

688573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 643204 + 45369 = 802^2 + 213^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-688573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344286 + 344287.

It is an arithmetic number, because the mean of its divisors is an integer number (344287).

2⁶⁸⁸⁵⁷³ is an apocalyptic number.

It is an amenable number.

688573 is a deficient number, since it is larger than the sum of its proper divisors (1).

688573 is an equidigital number, since it uses as much as digits as its factorization.

688573 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40320, while the sum is 37.

The square root of 688573 is about 829.8029886666. The cubic root of 688573 is about 88.3046004408.

The spelling of 688573 in words is "six hundred eighty-eight thousand, five hundred seventy-three".